332528742 has 96 divisors (see below), whose sum is σ = 897099840. Its totient is φ = 86676480.

The previous prime is 332528719. The next prime is 332528743. The reversal of 332528742 is 247825233.

332528742 is a `hidden beast` number, since 332 + 5 + 287 + 42 = 666.

It is a super-2 number, since 2×332528742² = 221150728512205128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332528697 and 332528706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332528743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144642 + ... + 146922.

It is an arithmetic number, because the mean of its divisors is an integer number (9344790).

Almost surely, 2^332528742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332528742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448549920).

332528742 is an abundant number, since it is smaller than the sum of its proper divisors (564571098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332528742 is a wasteful number, since it uses less digits than its factorization.

332528742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2395 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 332528742 is about 18235.3706296308. The cubic root of 332528742 is about 692.8029524162.

The spelling of 332528742 in words is "three hundred thirty-two million, five hundred twenty-eight thousand, seven hundred forty-two".